Computational Intelligence - Problems for Chapter 2 -- Solution to part (c)

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Solution to part (c)

How many interpretations are there? Give a brief justification for your answer.

There are two possible denotations for a, two for b and two for c. Thus there are 2³=8 possible phi's.

There are two possible values for pi(p)(<x>), and two for pi(p)(<y>). Thus there are 4 possible denotations for p.

Similarly, there are 4 possible denotations for q.

Thus there are 8*4*4=128 different interpretations.